Find the length of the curve 24xy = y + 48, 2 < y < 4 Select one: 17 85/85-8 243 V5 80V10-13 13 27 O None of these

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A: Given curve is  r(t)=t4i+t6j-5k,    1≤t≤4

Q: Calculate the length of the curve č: [0; 1] → Rgiven by ( 글2 + 2t st2 + 2t + 5 (t):: HIN

A: The length of the given curve is given by using the formula of arc length in parametric equation as…

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A: The area between the curves can be calculated by integration. The formula used for the integration…

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A: Given the curve

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Q: The length of the curve defined parametrically by: x = e*cost, y = e' sint, 0 Sts is equal to:…

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Q: Find equations for the horizontal and vertical A)y= at (1, 똥) B) z = 0 at (0, ) D) y = 2 at (2, *)…

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Q: Find the length of the curve. r(t) = ( 8t, t², ), 0 <t< 1 %3D 12

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Q: Find the length of the curve y = V4t2 – 1 dt, 1<x<2 O 3 O 8 O 104 3. O 15

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Q: Which of the following functions parametrizes the portion of the curve x=y³-4 that starts at (-4,0)…

A: In this question , we can check one by one all option .

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Q: Determine the concavity of the curve at t=7: N=6t-4, y =t- 6t 3 %3D O concave down O concave up O…

A: We will find out the concavity at t=7 for the given curve

Q: 10. Find the length of the curve defined by x = Vt, y = 1 – t from t = 0 to t = 5. %3D

A: To find: The length of the below curve from t = 0 to t = 5.

Q: 5. Do the following tasks using Mathematica. i) Find the length L of the curve y = 1 In a, 1<¤< 2…

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Q: Find &y:3mは や Rirst * = In in the the between the Curve area the line メ=H quadraut

A: We first sketch the region using a graphing calculator

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Q: Find the length of the curve. y = 2 – 4x, 1<a< 3 O 54 3V17 O 17 O 2y17

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Q: 4. Find both points on the surface xz – x2 – y? = 8 where the tangent plane is horizontal.

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Q: Find 4 and 4y axz dx y=te* dy- -(t-1)et y t is Fov which values the curve con cave upwavd. U BRANDS

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Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

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Q: Find the length of the curve r(t) = for 5 <t< 12. %3D Give your answer correct to two decimal…

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Q: 2tź from t = 0 tot = 1. 3 t°, y = 9. Find the length of the curve defined by x = %3D %|

A: Length ‘L’ for the curves in parametric form can be given by the formula mentioned below as. Then…

Q: Find the length of the are of the curve п x=e' sint , y=e' cost from t-0 to t=:

A: Given: x=etsint, y=et cost from t=0 to t=π2

Q: Consider the curve parametrized by x = t4 + 1 and y t6 + 4t5. www dy a) Find in terms of t. dx b)…

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Q: compute the length of the curve over the given interval.  r(t) = (cost,sin t,t3/2), 0 ≤ t ≤ 2π

A: Derivative of a function is represented as the change in variable with respect to change in another…

Q: Find the length of the curve.y=x3+14x,1≤x≤2. Round the approximation to 4 decimal places.

A: The length of the arc from point a to b is given by:

Q: ind the are-length of the following curves: 2 for 0sts V3 (2t +1)³² y = 3

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Q: C3. Find the length of the of the curve x= 1 from y = 1 to y = 2 %3D 4 8y?

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Q: Find the length of the curve x=1+2sin at, y=3–2 cos at, 0<t<l

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Q: Consider the curve y = zy+1. What is the value of- dz at (0, 1)? None of the given choices

A: The solution for the above question is as shown below.

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A: Given curve: x(t) = e^(5t) cos(t) y(t)= e^(5t) sin(t)

Q: Find the length of the curve r(t) = (sqrt(2)t)i + (srqt(2)t)j + (1 - t2)k from (0, 0, 1) to…

A: Given curve

Q: Find the length of the curve y = S Vcos t dt, 0 <x<n.

A: Given; The curve y=∫0xcost dt,      0≤x≤π .

Q: Find the length of the indicated portion of the curve. r(t) = (1 + 4t)i + (1 + 8t)j + (2 – 2t)k, -…

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Q: * Find the length of the curve.7 (ähäs 3) f(x) = In(sec x) %3D 4 In(3 + 1) O In(3 + 2) O In(2 + 2) O…

A: Hence option (d) is correct.

Q: What is the length of the curve I= cost +tsint, y=sint - tcost, (0 <t< 2n) ?

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Q: Let a curve be parameterized by x = t³ – 9t, y =t+3 for 1< t< 2. Set up (but do not evaluate) the…

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Q: A curve in the æy-plane is defined by (x(t), y(t)), where x (t) = t² and y (t) = tª + 1 for t > 0.…

A: Option A is correct answer, Detailed explanation is given below.

Q: Find the required x-value. For a x2-cu -curve with 27 degrees of freedom, find the X-value having…

A: Given data:Degree of freedom  =27 Area to the right  = 0.01

Q: Find the length of the curve 24xy = y + 48, Select one: 85/85-8 243 80/10-13/T3 27 O None of these

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Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: Find the length of the curve. 2ti + e*j + e-tk, 0 <ts 8

A: Consider the curve:rt=2ti+etj+e−tkrt=2t,et,e−t0≤t≤8 Find the length of curve:…

Q: The value of f. ydx + zdy + xdz where C is the curve x = y = z = 2t? from t = 0 to t = 1 is

A: Here we have to find the value of ∫cydx+zdy+xdz where C is the curve x=y=z=2t2 from t=0 to t=1.

Q: Find the length of parametrized curve given by  x(t) = 6t2 + 12t, y(t) = -4t3- 12t2 - 9t where t…

A: Consider the parametric curve given by: x(t)=6t2+12t and y(t)=-4t3-12t2-9t for t from 0 to 1. The…

Q: Compute the length of the curve r r(t) = (2t, In t, t²) over the interval 1 < t < 3 L =

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Determine the length of the curve r(t) = 4sin(3t)i + 3tj + 4cos(3t)k, 0 <t < -. 2 Give your answer…

A: Arclegth of the position vector

Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value.

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Q: Q 3. For a curve in the x y plane differentiate between dy and dy. Brief and to the point answer is…

A: Query- For a curve in the x y plane differentiate between dy and δy, write the answer briefly,…